October 1, 2004
Inside a Conductor ![]()
Boundary Conditions at a Conductor/Free space
Interface:
Et = 0 and
.
Dielectrics in Static Electric Field

where equivalent charge densities
![]()
Electric Flux density: ![]()
Gauss’s law: ![]()
Linear and isotropic medium:
where
is electric susceptivility.
![]()
Boundary Conditions: E1t=E2t (V/m), and D1n - D2n
= rs (C/m^2)
Capacitance: 
Parallel-plate capacitor: ![]()
Cylindrical Capacitor: 
Spherical capacitor: 
Electrostatic Energy needed to assemble a N charge
system:

Electrostatic Energy in terms of Field Quantities: 
Capacitance in terms of electrostatic field energy:
.
Electrostatic Forces
System with fixed charges:
.
System with fixed potentials: ![]()